Exam 2 Info

When you conduct an F test, (blank) estimates of the population variance are compared.

2

A two-way ANOVA has 3 levels of Factor A, 3 levels of Factor B, and 15 observations in each cell. What df should be used to test the significance of the interaction F?

4, 126

In an analysis of variance problem if SST = 120 and SSTR = 80, then SSE is

40

The test statistic for goodness of fit has a chi-square distribution with k - 1 degrees of freedom provided that the expected frequencies for all categories are

5 or more

In an analysis of variance problem if SST = 1605 and SSE = 1050, then SST R is

555

What are the two kinds of variability which can occur in your data when performing ANOVA?

Between and within groups

A researcher predicts that a special training course will be equally effective for males and females. This researcher is predicting an interaction between training and gender.

False

The F ratio in a completely randomized ANOVA is given by

MSTR/MSE

Which of the following assumptions must be met to use an ANOVA test?

The data must be normally distributed The dependent variable must be interval or ratio There is homogeneity of variance

The test for goodness of fit and test of independence are designed for use wit

categorical data

The test for goodness of fit and test of independence are designed for use with

categorical data

In the ANOVA, treatments refer to

different levels of a factor

A statistical test conducted to determine whether to reject or not reject a hypothesized probability distribution for a population is known as a

goodness of fit test

The null hypothesis for the chi-square test of independence is that the variables are

independent

In the analysis of variance procedure (ANOVA), "factor" refers to

independent variable

The degrees of freedom for the goodness of fit test are

number of categories - 1

The number of degrees of freedom associated with the chi-square distribution in a test of independence is

number of rows minus 1 times number of columns minus 1.

The process of allocating the total sum of squares and degrees of freedom to the various components is called

partitioning

The required condition for using an ANOVA procedure on data from several populations is that the

sampled populations have equal variances.

An analysis of variance for a three-factor experiment produces:

seven F ratios

The Structural Model of ANOVA suggests that:

squared deviations between the scores and the grand mean can be broken down into treatment variance and error variance components

Two variables are said to interact when:

the effect of one independent variable depends on the levels of the second variable

The ANOVA procedure is a statistical approach for determining whether or not the means of

three or more populations are equal.

A 4 × 5 factorial ANOVA means that the experimental design includes:

two independent variables